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Finding the Fourth Proportional to 538.85, 808.96 and 458.20

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Solution

The fourth proportional to 538.85, 808.96 and 458.20 is: 687.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.85 : 808.96 = 458.20 : x
  2. Step 2: Convert to fraction form
    538.85/808.96 = 458.20/x
  3. Step 3: Cross multiply
    538.85x = 808.96 × 458.20
  4. Step 4: Simplify right side
    538.85x = 370,668.85
  5. Step 5: Solve for x
    x = 370,668.85/538.85
  6. Step 6: Final answer
    x = 687.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.